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If 31P5 is multiple of 3, where p is ten’s digit, then the greatest value of P is
Question

If 31P5 is multiple of 3, where p is ten’s digit, then the greatest value of P is

A.

9

B.

3

C.

6

D.

5

Correct option is A

As we know the rule of divisibility by 3 is Sum of all numbers should be divisible by 3.
Here, 31P5 is divisible by 3
3 + 1 + P + 5 = 9 + P
So, the value of P should be (3, 6, 9)
= 9 + 3 = 12
Or, 9 + 6 = 15
Or, 9 + 9 = 18
So, the greatest value of P will be 9.

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